Title :
Diffusion approximations for the analysis of digital phase locked loops (Corresp.)
Author :
Kushner, Harold J. ; Huang, Hai
fDate :
3/1/1982 12:00:00 AM
Abstract :
Recent results for getting diffusion limits of a sequence of suitably scaled stochastic processes are applied to the synchronization problem for a digital phase locked loop (DPLL). For small filter gains and symbol intervals a diffusion (Gauss-Markov) process approximation is rigorously obtained. This approximation yields approximate error variances, passage time distributions, and correlation properties (among other properties) for the DPLL. The problem of tracking a drifting clock is also treated.
Keywords :
PLLs; Phase-locked loop (PLL); Adaptive systems; Detectors; Network address translation; Notice of Violation; Phase locked loops; Probability density function; Signal detection; Synchronization; Telecommunications; Testing;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1982.1056463